First, let's find the bottom of the pan's area. 11 x 8 = 88 inches.
Next, we can find the sides. 11 x 3 x 2 = 66 inches for each long side. For the wide sides, 8 x 3 x 2 = 48 inches. These all added together equals 202 inches squared.
Of Janet’s two solutions, both x=5 and x=-2 are correct because both x=-2 and x=5 are extraneous solutions
<h3>Logarithmic function</h3>
Given the log function expressed as:
log(x-3) + logx=1
According to the law of logarithm, addition becomes product to have:
log x(x -3) = log₁₀10
x² - 3x = 10
x² - 3x -10 = 0
x² - 5x + 2x - 10 = 0
x(x-5) + 2(x-5) = 0
(x+2)(x-5)=0
x = -2 and 5
Of Janet’s two solutions, both x=5 and x=-2 are correct because both x=-2 and x=5 are extraneous solutions
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The invested amount, A=£4000
Rate of interest on this amount, r=5% per annum.
Total interest on the amount £4000 after 1 year
.
The total amount after 1 year, P=£4000+£200=£4200
Amount remains after an annual prize of £150=£4200-£150=£4050.
Note that after providing the annual prize the amount remains is £4050 which is more than the invested amount of £4000 as the prize money is less than the interest gained.
Now, for the 2nd year, the 5% interest is on the principal amount of £4050, which will have more interest as compared to the interest of 1st year.
Again, after prize distribution, the total amount remains for the principal amount of 3rd year will be more than the principal amount of 2nd year. This sequence repeated every year and the total amount will increase every year.
So, it will never end, the full prize money can be awarded for infinitely many years.
A segment is bounded by two endpoints.
The two segments can have up to two common points
Assume the line segments are AB and CD where the length of AB is greater than the length of CD.
<u>The possibilities are:</u>
- <em>A point of segment CD lies on segment AB</em>
- <em>Both points of segment CD lie on segment AB.</em>
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See attachment for both possibilities.
Hence, it is possible for the two segments to have two common points.
Read more about line segments at:
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I think the answer could be 10 or even 12